System of equations in GSL

by csopi
Tags: equations
csopi is offline
Feb19-13, 10:14 AM
P: 76
I need to solve the following system of equations:

qa = fa (qa, qb, qc, qd)
qb = fb (qa, qb, qc, qd)
qc = fc (qa, qb, qc, qd)
qd = fd (qa, qb, qc, qd)

where all the variables and functions are complex. However, there are some additional constraints for the variables, lets call them

na (qa, qb, qc, qd) = 1
nb (qa, qb, qc, qd) = 1
nc (qa, qb, qc, qd) = 1
nd (qa, qb, qc, qd) = 1

My problem is, that if I take into account the constraints, the system will be overdetermined (4 variables, 8 equations). However, it is known, that it still has a lot of solutions.

I am quite new to GSL (GNU Scientific Library), and I do not know, how to solve overdetermined systems and I cannot find anything in the manual either.

Do you have any suggestions?
Phys.Org News Partner Science news on
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes

Register to reply

Related Discussions
A system of equations with more unknowns than equations Linear & Abstract Algebra 14
Differential Equations: System of equations Calculus & Beyond Homework 6
Solution to system of linear equations in range of system matrix Calculus & Beyond Homework 2
Constants in a system of equations that makes the system consistent Precalculus Mathematics Homework 6
differential equations-system of equations, cleaning up the great lakes... Calculus & Beyond Homework 1